The Geometry of Understanding: (Glossometry)
The Mathematics of Topic: (Topoglossography)
The Mechanisms of Discourse: (Logotronics)
The Manifold of Culture: (Ethnosemantics)
The Graphing of Ethnosemantic Space: (Topographing)
The Transformation of Concerns: (Topiatrics)
The Integration of Experience: (Awakening)
The Dimensionality of Conceptualizations: (Esnosys)
The Connectivity of Topical Domain: (Biographics)
The Dynamics of Constitute Exchanges: (Strategics)
The Structure of Transactions: (Transactional Engineering)
The Function of Displays: (Communication)
The Deformations of Socio-Function: (Enactology)
The Configurations of Society: (Sociatrics)
The Mobius Strip of Awakening: (Raising Awareness)
Notes on the Dialectics of ES
(1) Refer to accompanying figure.
(2) The dialectics of ES is represented by a 3-D hexagonal pyramid that has 7 vertices and is constituted of 6 triangular fragments:
The 5 basic dialectic movements are indicated as the progression in five steps from levels I (white) to VI (black).
(3) The dialectics of ES is sufficiently characterized by the 15 topic domains identified in the accompanying figure. The first dialectic movement is represented by the progression from Stage 1 (white) to Stage 2 (yellow). It is characterized by the following steps in each of the 15 topic domains
Progressions Step
Resolution
------------------------------------------------------------------------------------------------------------
1. From
White to Yellow
(Stage)
2. From
Form to Structure
(Formal Parameters)
3. From
Shape to Dimension
(Formal Projections)
4. From
Position to Ordering
(Coordinate Markers)
5. From
Culture to Group Membership (Thematic
Projections)
6. From Configuration
to Connectivity
(Geometric
Correspondence)
7. From ES Outlines
to Topic
Focus
(Ethnosemantic
Correspondence)
8. From 1-D, Point
to 3-D Triangle (Geometric
Progression)
9. From Anchor Points
to Conceptualizations
(Ethnosemantic Progression)
10.From Perspective
to Relationship
(Descriptive Domains)
11.From Views
to Intentions
(Performative
Registers)
12.From Interaction
to Expectation
(Transactional Contention)
13.From Birth
to Enculturation (Progression
of Captivity)
14.From Individual Action to Enactment
of Liberation (Progression of Awakening)
15.From Spiritual Concerns to Service Concerns (Manifestations
of Captivity)
Thus, the first basic dialectic movement is characterized by a
progression step from Level I to Level II in 15 domains
Stage
Formal Parameters
Formal Projections
White Yellow
Form
Structure Shape
Dimension
Coordinate Markers Thematic Correspondences Ethnosemantic Correspondences
Position Ordering
Culture Group
Configuration
Connectivity
Membership
Ethnosemantic
Geometric
Ethnosemantic
Correspondences
Progression
Progression
ES Outline Topic
1-D Point
3-D
Anchor
Conceptualizations
Focus
Triangle Points
Descriptive Domains
Performative
Transactional
Registers
Contention
Perspective Relationship Views
Intentions Interaction
Expectation
Progression
Progression
Manifestations
Of Captivity
Of Awakening
Of Captivity
Birth Enculturation Individual
Enactment Spiritual
Service
Action of Liberation Concerns
Concerns
Notes on the Dialectics of ES
In this manner, the second, third, fourth, and fifth movements can be iterated systematically. Note that the 15 topic domains listed (purple) are treated as conceptualizations which resolve (through the process of triangular resolution of contention points) each of the 5 pairs of anchor points (white through black) corresponding to the 5 dialectic movements. An illustrative case in that of topic domain 7 (Ethnosemantic Correspondence).
ES Correspondence ES Correspondence ES Correspondence
ES Outline Topic
Topic
Display Display
Constitutive
Focus Focus
Repertoire Repertoire
Exchanges
ES Correspondence
ES Correspondence
Constitutive
Trans-
Trans-
Understanding
Exchanges
actional actional
Engineering Engineering
Notes on the Dialectics of ES
Similarly, the 5 movements in the other 14 Topic Domains can be derived by the same iterative process with reference to the accompanying master figure.
(4.) The first basic dialectic movement of ES is operationally specified by
the ascension to the Level II conceptualization. This conceptual step-up in
ethnosemantic functioning is formally characterized by the up-grading of the mathematical
system specified by the 1-D,Point (1.White) to a mathematical system specified by
the 2-D, Triangle (1.Yellow,II) (3. Geometric Progression).
The 2-D, Triangle is the minimal geometric figure or
expression. It has 3 verticles and 3 sides; each vertix (corner) has a value
specification in 2 independent dimensions along a plane surface (Cortesian Coordinate
System). The 2-D Triangle is, therefore, the minimal expression of STRUCTURE
(2. Yellow II).
In the topical domain of Formal Projections (3), the
shape of a two-dimensional figure can be taken as the unit of recognition on a visual
projection. Shape can be defined formally by specifying the configuration (6.
White I) of points in a manifold. For instance, the shape of a star is a
configuration of 10 points connected continously on a plane surface. The
dimensionality (DIMENSION, 3. Yellow II) of the star-shaped figure is expressed
geometrically by its connectivity (6. Yellow II). Consider the differences
in connectivity between a star and a pentagon:
ES Dialectics
The CONNECTIVITY of the star SHAPE or CONFIGURATION is expressed geometrically by interconnecting the 10 vertices in all possible combinations. Connectivity is a mathematical expression of the order of complexity of the configuration. Thus, the total number of interconnections in this case is 45. Note that the outside area of the fully interconnected star is a pentagon. Note that the inner area (bounded by 2,4,8,10) is a quadrangle. Triangles, pentagons, (e.g. 2,4,8,9,10)and
hexagons (e.g. 2,3,4,8,9,10) can also be seen by inspection. The number of such
constitutive fragments, their shape and individual connectivity, have exact mathematical
derivations and can be specified for any figure.
ES Dialectics
The star SHAPE is a CONFIGURATION of 10 points arranged on a plane.
It becomes visible when the 10 points are connected continously to form a
two-dimensional bound figure.
ES Dialectics
Thus, by reference to the foregoing discussion, we
have the following logical expressions for the first basic dialectic movement:
M1 I=>II
FORM
CONFIGURATION
SHAPE
---------- =
-------------------- =
-------
STRUCTURE
CONNECTIVITY
DIMENSION
POSITION
1-D, POINT
WHITE
------------ =
---------------
=
-----------
ORDERING
2-D, TRIANGLE
YELLOW